The midfielders were struggling for game time at Tottenham Hotspur and Manchester United respectively but can reignite their careers with in the Premier League on Merseyside.
Lampard, who was speaking to the press for the first time as Everton boss, was full of praise for the ability of both players and hopes he will be able to create an environment where he can get the best out of them.
Here is what the Chelsea and England legend said about Dele Alli and Donny van de Beek:
“Sometimes it’s good to get a player that has a point to prove”
Both Dele Alli and Donny van de Beek arrived at Everton on transfer Deadline Day, just hours after Frank Lampard was unveiled as the club’s new head coach.
Lampard played an important role in bringing both Goodison Park, with Alli joining on a permanent transfer and Van de Beek on loan, and now hoped he can get the best out of both.
He said: “In terms of the business we did, both Dele and Donny are very separate cases.
“I just look at the player, look at the person and have conversations with both.
“They’re both very talented players that I’ve gone up against in different ways in the past and been very impressed with.
“Sometimes it’s good to get a player that has a point to prove in a certain way because they will come here with a hunger to show themselves.
“In their own separates way I trust in their talent, I trust in them as people and my job now is to set the environment and work with them and support them to show the talents they have, harness the natural ability and join that with the squad because we have some talent already here so it’s my job to put it altogether.”
A “fresh slate” for Dele Alli at Everton under Frank Lampard
Lampard went on to say that Dele Alli will start with a fresh slate at Everton while acknowledging the England international has not been at his best compared to previous seasons.
The 25-year old signed for Spurs in 2015 from MK Dons and scored ten goals for the North London club in his first season.
He was even more prolific in the 2016-17 season where he netted 22 times and 50 games and then scored 14 times in the same number in the 2017-18 season.
That sent him into the World Cup in Russia as one of the standout players of the England squad.
However, since then the goals have gradually become less and less and so has his game time with the midfielder having scored just two goals in 18 games for Spurs this season.
However, Lampard is confident the player can return to the heights he reached between 2016 and 2018 and will work with him to reach that goal.
He said: “ I watched Dele come through and he’s a fantastic player, maybe he’s had difficult times - I would make no bones about that and nor would he.
“There can be so many different reasons for that and my job now is to start with a fresh slate with him, to have him in an environment that suits him and supports him but also to push him and extract that player that we know is there.
“All the attributes, all the talent and all the technique is still there and we’re much more aware now in the modern day of how there are many factors in life and sport that can affect how happy you are in your job so I have to find the right environment for Dele.
“The best thing for me, which is hard because he’s such a big name and a top player, is to do it quietly but our job now is to get to work and allow him to express his talent.
“I’m very excited to have him and to have Donny, they’re fantastic players who come to the squad and will hopefully give us a lift.”